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Finding the Fourth Proportional to 10,269.66, 15,406.40 and 3,251.45

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Solution

The fourth proportional to 10,269.66, 15,406.40 and 3,251.45 is: 4,877.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,269.66 : 15,406.40 = 3,251.45 : x
  2. Step 2: Convert to fraction form
    10,269.66/15,406.40 = 3,251.45/x
  3. Step 3: Cross multiply
    10,269.66x = 15,406.40 × 3,251.45
  4. Step 4: Simplify right side
    10,269.66x = 50,093,045.99
  5. Step 5: Solve for x
    x = 50,093,045.99/10,269.66
  6. Step 6: Final answer
    x = 4,877.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.